Mathematics 211 Course Page

# Math 211

## Algebraic Methods

### Fall/Winter 2017/2018

List of Assignments       List of Overheads       List of Handouts       List of MAPLE Solutions       Further Reading       News

 Time: Tu 3:30-4:30, Th 2:30-3:30, Fr 4:30-5:30 Place: Room 225, Jeffery Hall
 Instructor: Dr. Ernst Kani Room 211, Jeffery Hall Telephone: 533-2435 Email: kani@mast.queensu.ca
 Office hours:    after each class (see below) or by appointment:
 Tu 4:30 - 5:00 Th 3:30 - 4:20 Fr 5:30 - 6:00
 Marking scheme: Assignments October Mid-term test Christmas exam February Mid-term test Final exam 20.0%   7.5% 30.0%   7.5% 35.0% _______ 100.0%

 Assignments: Due Fridays at 4:30 MAPLE Lab: Fri, 22 September, 2017, 4:30-5:30, Room 155 JEF Mid-term tests: Thurs, 26 October, 2017, 2:30-3:30 in Rooms 225 and 234 JEF Thurs, 1 March, 2018, 2:30-3:30 in Rooms 225 and 234 JEF Christmas exam: 19 December 2017, 14:00-16:00, JEF 1st floor Final exam: April, 2018 Textbook: E. Kani, N. J. Pullman, N. M. Rice, Algebraic Methods, Queen's University, 2017. PC software: MAPLE - installed on PC's in Jefflab (JEF 155)

### Course Outline

 Integers: - Greatest common divisor (gcd), Euclidean algorithm (ch. 1) - Linear Diophantine equations (ch. 1) - Modular arithmetic (ch. 2) - Public key cryptography (ch. 2) Polynomials: - Review of complex numbers (ch. 3) - Gcd, Euclidean algorithm (ch. 3) Approximation: - Data fitting: Lagrange interpolation formula,                     Least square approximation (ch. 4) Matrices: - Matrix polynomials, discrete linear systems (ch. 5) - Applications of Jordan canonical form (ch. 6,7) - Powers of matrices, stochastic matrices (ch. 7) Groups: - Permutation groups, cycles, Burnside's theorem,   application to colouring problems (ch. 8)

 Page Last Updated: January, 2018